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Name Date Explicit Expressions and Recursive Processes Matching Worksheet Write the letter of the answer that matches the problem. 1. Given the recursive formula, write the explicit formula for the.

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A recursive arithmetic sequence is written in the form { a 1 = c a n = a n − 1 + d , and an explicit arithmetic sequence is written in the form a n = a 1 + ( n − 1 ) d .

An explicit formula for a sequence allows you to find the value of any term in the sequence. The natural numbers are a subset of the integers: {1,2,3,4,5....} A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.

In mathematical words, the explicit formula of an arithmetic sequence is designated to the nth term of the sequence. A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. The first term is called a1, the common difference is d, and the number of terms is n.

Example of Arithmetic Sequence Explicit Formula The first term of an arithmetic sequence is represented by a1 or a = -3. Applying the formula for the nth term, the arithmetic series explicit formula is an = a + (n - 1)d = -3 + (n - 1)(-3) = -3n + 3 - 3 = -3n, or an = -3n.

They are two different ways to find a number in a sequence. They should be defined in the arithmetic sequence video. Explicit allows you to jump in anywhere in the sequence and is more powerful but complicated, while recursive is simpler but you can only go one term at a time.

As mentioned, an explicit formula is a formula we can use to find the nth term of a sequence. In the easiest definition, explicit means exact or definite. The formula is explicit because as long as it's applied correctly, the nth term can be determined.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232